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Finding the Third Proportional to 7,786.13 and 13,830.75

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Solution

The third proportional to 7,786.13 and 13,830.75 is: 24,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 13,830.75 = 13,830.75 : x
  2. Step 2: Convert to fraction form
    7,786.13/13,830.75 = 13,830.75/x
  3. Step 3: Cross multiply
    7,786.13x = 13,830.75 × 13,830.75
  4. Step 4: Simplify right side
    7,786.13x = 191,289,645.56
  5. Step 5: Solve for x
    x = 191,289,645.56/7,786.13
  6. Step 6: Final answer
    x = 24,568.02

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.